Special Year in Algebraic Geometry

9402837卡茨这个奖项支持在俄克拉荷马州代数几何特殊的一年，专注于镜像对称，唐纳森理论的代数曲面，以及相关领域。 这些领域的代数几何，其中连接不同领域的数学和物理学是显而易见的和新兴的。 将有2-4个访客居住的学年除了三个永久的代数geometers对教师。 此外，将有至少55名短期参观者;其中许多人将参加两个为期3天的研讨会。 这项研究是在代数几何领域，这是现代数学最古老的部分之一，但在过去的10年里，它已经发展到解决了几个世纪以来的问题。 最初，它处理的数字定义在平面上的最简单的方程，即多项式。 今天，该领域使用的方法不仅来自代数，而且来自分析和拓扑学。 此外，它已被证明在物理学、理论计算机科学、密码学、编码理论和机器人技术等不同领域都很有用。

9402837 Katz This award supports a special year in algebraic geometry at Oklahoma State, focusing on mirror symmetry, Donaldson theory for algebraic surfaces, and related areas. These are areas of algebraic geometry for which connections with different areas of mathematics and physics are apparent and emerging. There will be 2-4 visitors in residence for the academic year in addition to the three permanent algebraic geometers on the faculty. In addition, there will be atleast 55 short term visitors; many of these will be participants in two 3 day workshops. The research is in the field of algebraic geometry, one of the oldest parts of modern mathematics, but one which blossomed to the point where it has, in the past 10 years, solved problems that have stood for centuries. Orginally, it treated figures defined in the plane by the simplest of equations, namely polynomials. Today, the field uses methods not only from algebra, but also from analysis and topology. Moreover, it has proved itself useful in fields as diverse as physics, theoretical computer science, cryptography, coding theory and robotics.